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Simplifying 10 + j = -1j + 8 Reorder the terms: 10 + j = 8 + -1j Solving 10 + j = 8 + -1j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add 'j' to each side of the equation. 10 + j + j = 8 + -1j + j Combine like terms: j + j = 2j 10 + 2j = 8 + -1j + j Combine like terms: -1j + j = 0 10 + 2j = 8 + 0 10 + 2j = 8 Add '-10' to each side of the equation. 10 + -10 + 2j = 8 + -10 Combine like terms: 10 + -10 = 0 0 + 2j = 8 + -10 2j = 8 + -10 Combine like terms: 8 + -10 = -2 2j = -2 Divide each side by '2'. j = -1 Simplifying j = -1
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